函数的连续性

The method of address mapping used by CMAC is adopted in the new network.

由于高阶接收域函数的引入，使其可以获得较CMAC连续性强且有解析微分的复杂函数近似。

The reason lies in that the conventional representations of PWL functions concern with too many parameters occurring in the function expressions and the domain partitions respectively, which result in the redundance of the parameters in the case of the continuity condition considered.

分片线性模型得不到广泛和系统应用的主要原因是传统的分片线性函数表示式涉及太多的参数，包括定义域及定义域每一部分上函数的定义；当考虑连续性条件时冗余是显然。

In this paper we introduce a nonlinear scalarization function. Several important properties, such as subadditiveness, strict monotone and continuity, of this nonlinear scalarization function are established.

本文引入了一种非线性标量化函数，讨论了该标量化函数的一些重要性质，如次可加性、严格单调性和连续性。

The main aim of this thesis is to extend some results of classical convex analysis to notions of Carnot groups, which contain the inequalities of Hadamard type, the Lipschitz continuity, the comparison principle and the second order derivatives for convex functions on Carnot groups G and regularity of quasiconvex functions on G.

本文的主要目的是推广欧氏空间凸分析中的一些结果到Carnot群上凸分析的情形，其中包括Carnot群上凸函数的Hadamard型不等式、Lipschitz连续性、比较原理、二阶可微性及拟凸函数的正则性问题。

Using the concept of the of weighted residual method and choosing the fifth B-spline as a trial function to meet the needs of boundary conditions,the mechanical problem of large deflection of a rectangular thin plate is discussed.

采用加权残值法探讨大挠度力学问题时，用5次B样条作为未知函数的试函数，使其直接满足边界条件，这种方法与传统的有限元法相比，具有未知量少，自由度少，连续性强，边界条件容易满足等优点

The principles are as follows:①preliminary interpretation is carried out on crosswell seismic data in depth domain to establish an accurate velocity model;②sinc interpolating function is used in depth-time conversion to realize waveform fidelity;③the recognition of surface seismic data is utilized to ascertain the reflection characteristics of crosswell seismic data in time domain;④ good spatial continuity of surface seismic data is adopted to retrieve the "hopper" defect in crosswell seismic profiles and the deficiency of lateral contrast between crosswell seismic data;⑤in fine calibration of well-side traces of crosswells and surface seismic data, coincident time-depth relation is used to match two seismic data so as to make the calibration more reasonable;⑥in multi-crosswell seismic data inversion by sparse spike inversion method, lateral restraints are strengthened to ensure the continuity of inversed wave impedance profile.

实现反演的基本原理是：对深度域井间地震资料进行初步解释；建立精确的速度模型；在对井间地震剖面进行深时转换时采用sinc插值函数实现波形保真；利用对地面地震资料的认识来落实时间域井间地震资料的反射特征；利用地面地震资料良好的空间连续性弥补井间地震剖面的"漏斗"缺陷和井间资料之间横向对比性的不足；在井间地震和地面地震井旁道精细标定中，通过一致的时深关系来实现两种地震资料之间的匹配，使井旁道的标定更加合理；在利用稀疏脉冲反演方法进行连井井间地震资料反演时，通过增强横向约束保证反演波阻抗剖面的连续性。

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先，第二章在非Lipschitz条件下，研究了第二类方程的解的存在唯一性问题，在此基础上，又证明了解的稳定性；第三章在非Lipschitz条件下，证明了第二类BSDE解的比较定理，并在此基础上，利用单调迭代的方法，构造性证明了最大、最小解的存在性；第四章在以上的一些理论基础之上，得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果，主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的，得到了最优控制和动态规划的一些结果，在这一章的最后还讨论了相应的效用函数的性质，如，效用函数的单调性、凹性以及风险规避性等；第五章，针对第一类倒向随机微分方程，运用单调迭代方法，证明了最大和最小解的存在性，并研究了解的其它性质及在效用函数上的应用。

Based on the characteristic of temperature variation in plate rolling process, a monotone function of control temperature and finish temperature can be got.

温度对TMCP工艺影响很大，其中控温温度和终轧温度又相互影响，为此分析了中厚板轧制过程中温度的变化特点，将控温温度与终轧温度之间的关系转化成一个单调增函数，然后提出了相应的优化算法，以避免该单调增函数的不连续性，并利用二分法快速求出控温温度的具体值。

In order to get the formulation,the B3 spline function is used to distribute the contact problem,and numerical examples are analyzed to show the effectiveness of the method.

该方法充分利用了样条函数的解析和数值双重性及连续性强的优点来构造杆的位移函数，因此可推广应用于分析结构在冲击荷载下的动力响应问题。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。